%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC328-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:45:22 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   40 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  13   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [U] :
      ( ~ ssList(U)
      | segmentP(U,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f187,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    nil = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f194,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f425,plain,
    ssList(sk2),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f428,plain,
    nil = sk3,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f430,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f431,plain,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f439,plain,
    ( spl0_2
  <=> segmentP(sk2,sk1) ),
    introduced(split_symbol_definition) ).

fof(f441,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f439]) ).

fof(f442,plain,
    ( spl0_3
  <=> equalelemsP(sk1) ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( ~ equalelemsP(sk1)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f442]) ).

fof(f445,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f431,f439,f442]) ).

fof(f477,plain,
    sk1 = nil,
    inference(forward_demodulation,[status(thm)],[f428,f430]) ).

fof(f503,plain,
    ( ~ segmentP(sk2,nil)
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f477,f441]) ).

fof(f504,plain,
    ( ~ ssList(sk2)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f503,f249]) ).

fof(f505,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f504,f425]) ).

fof(f506,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f505]) ).

fof(f507,plain,
    ( ~ equalelemsP(nil)
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f477,f444]) ).

fof(f508,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f507,f194]) ).

fof(f509,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f508]) ).

fof(f510,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f445,f506,f509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC328-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Apr 30 00:03:48 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37  % Elapsed time: 0.026149 seconds
% 0.18/0.37  % CPU time: 0.035881 seconds
% 0.18/0.37  % Total memory used: 14.220 MB
% 0.18/0.37  % Net memory used: 14.199 MB
%------------------------------------------------------------------------------